The answer to you question is c
arcsin(1/2) means "the angle whose sine is 1/2".
That's 30° .
y = cos(30°) = (1/2)√3 = about 0.866 .
Suppose the number is y >>>>>So y/2 +2y/3 <14
multiply both sides by 6>>>>>>>>>. 6y/2 +6x2y/3 <14x6
3y + 4y < 84
7y <84
y <84/7
y < 12
2 - b.
3 - a.
I'm not sure about 4. Hope this helps!